Answer:

Step-by-step explanation:
For this triangle we have to

We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So

Now we use the sine theorem to find the length of b:

Then:

we know that
<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
Let
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
<u>case 1)</u>

<u>case 2)</u>

<u>case3)</u>

therefore
<u>the answer is the option</u>
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
x > 8
x < -16
Step-by-step explanation:
2x + 10 > 26
2x + 10 - 10 > 26 - 10
2x > 16
2x/2 > 16/2
x > 8
2x + 10 < -26
2x + 10 - 10 < - 26 - 10
2x < -36
2x/2 < -36/2
x < -16
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